Symmetry conjecture for the mock Alexander polynomial of starred knotoids

Let $K$ be a knotoid diagram. Let $K_1$ and $K_2$ be the starred knotoid diagrams obtained from $K$ by placing a star in the region incident to the tail and the region incident to the head, respectively. The mock Alexander polynomial symmetry conjecture.

$$\nabla_{K_{1}}(W, B) = \nabla_{K_{2}}(-B, -W).$$

This symmetry has been observed in examples where the regions containing the two endpoints are starred. It was given in the cited source and remains open at the time of writing.